Yes you can put lime under mulch. I like what you've tilled into the soil. Note that the mychorrizal fungi are completely dependent on living roots to thrive and do their job. There are other microbes you can add to further improve your soil if you desire.
So I recommend calcitic lime because of your calcium:magnesium ratio. First let it be clear I am not a soil scientist. I have a basic understanding of soils and soil health of which I've obtained thru
books and still have much to learn. So, ratios. There are a couple nutrient ratios which must be in proper order for the rest of soil nutrition, microbial life, root health and plant health to succeed. They seem to be calcium:magnesium of 10:1, phosphate:potash of 2:1 and a potash:sulfate of 1:1. For an example in this discussion, we'll look at the cal:mag. Looking at the values on your soil analysis, the calcium in the soil is 254ppm and magnesium is 41 ppm, or a ratio of about 6:1. it's heading in the right direction. In the decades prior, agriculture was focused on NPK and the quantities in soils, largely ignoring the importance of calcium because if was largely not understood. Farmers were aided in their endeavors by fertilizer salesmen who spoke of mainly of NPK, and you apply fertilizers to make crops grow successfully. Agricultural science now understands how imperative calcium is, as it is necessary for all of a plants biological functions, including nutrient uptake thru the rhizosphere, and on the soil side of science calcium is absolutely necessary for the microbial life in the soil, which make the other elements available for plant roots to uptake.
The above barely scratches the surface of soil management and it sounds like you are pretty serious about
gardening and are putting thought and consideration into your
gardening adventure. I highly recommend reading some books on soil health and management, like
Building Soils For Better Crops by Fred Magdoff & Harold van Es,
Building Soils Naturally by Phil Nauta,
The Soul of Soil by Joseph Smillie,
Building Soil by Elizabeth Murphy, and others. You get the idea
Those books and others will guide you to successful gardening through healthy soil practices. Regardless of what you're trying to grow, they all grow in soil. Healthy soils yield healthy plants, which rarely get infected with disease and infested with undesirable insects.
I noticed your soil analysis came from the county extension. They gave you good information regarding the quantities that are present in the soil, but there are better soil tests out there, and they do cost more. Better soil tests will give you base saturation values (sometimes called a base saturation test) and also a Reams test (named after Dr. Carey Reams who really was a soil scientist). I'm not proficient in my understanding of those tests to explain them to you here, but they are explained in some of the aforementioned books. The Googles will also explain it
I hope this was helpful and I'll try to
answer more questions if I can
Edit: The other microbes I mentioned in the first paragraph, those include Effective Microorganisms, or EM for short. I purchased my EM from a company called Teraganix. There are other producers of EM too. There are also soil inoculant blends containing bacteria like Bacillus, Streptomyces and Pseudomonas, among others. All are good guys we want in healthy soils.